Question

For what value of k , the polynomial 2x3-kx2+5x+6 exactly divisible by ( x +2)

Answer 1

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Answer 2

Here is your answer:
$as(x + 2) \: is \: exactly \: divides \: the \: given \: px \\ therefore \: p( - 2) = 0 \\2 ( { - 2}^{3} ) - k( { - 2}^{2} ) + 5( - 2) + 6 = 0 \\ - 16 - 4k - 5 + 6 = 0 \\ 4k = - 15 \\ k = \frac{ - 15}{4}$